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Finding the Third Proportional to 206,205.75 and 309,855.38

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Solution

The third proportional to 206,205.75 and 309,855.38 is: 465,604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,205.75 : 309,855.38 = 309,855.38 : x
  2. Step 2: Convert to fraction form
    206,205.75/309,855.38 = 309,855.38/x
  3. Step 3: Cross multiply
    206,205.75x = 309,855.38 × 309,855.38
  4. Step 4: Simplify right side
    206,205.75x = 96,010,353,416.39
  5. Step 5: Solve for x
    x = 96,010,353,416.39/206,205.75
  6. Step 6: Final answer
    x = 465,604.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.